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Finding the Fourth Proportional to 256,393.11, 384,626.12 and 78,914.91

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Solution

The fourth proportional to 256,393.11, 384,626.12 and 78,914.91 is: 118,383.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,393.11 : 384,626.12 = 78,914.91 : x
  2. Step 2: Convert to fraction form
    256,393.11/384,626.12 = 78,914.91/x
  3. Step 3: Cross multiply
    256,393.11x = 384,626.12 × 78,914.91
  4. Step 4: Simplify right side
    256,393.11x = 30,352,735,248.87
  5. Step 5: Solve for x
    x = 30,352,735,248.87/256,393.11
  6. Step 6: Final answer
    x = 118,383.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.